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3 June, 23:58

Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 7%. If the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (Round your answer to one decimal place.)

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  1. 4 June, 03:33
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    The amount remaining after 24 hours is 17.5 milligrams.

    Step-by-step explanation:

    The rate of decay is proportional to the amount of the substance present at a time

    The equation is

    Rate=k*amount remaining at (time)

    Where k = constant of proportionality.

    So we don't know the value of k, let's find it.

    7 = k (70) (6)

    K = 1/60

    Amount remaining after 24 hours

    7 = 1/60 * x * (24)

    (60*7) / 24 = x

    17.5 = x

    The amount remaining after 24 hours is 17.5 milligrams.
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